# derivative

1. ### I A-level differentiation/derivative dilemma

Hello, and thank you for your time. I just started my A-levels derivatives/differentiation , and I would be more than happy if you could help me clarify it. For example I know that y is a function in terms of x right? y=f(x) The derivative of it is f'(x)=dy/dx . This means it is the rate of...
2. ### Derivative in mass flow rate equation - Hydrology

Hello, I am working with the mass flow rate equation which is: $$\frac{d \dot{m}}{dt}=\dot{m}_{in}-\dot{m}_{out}$$ To determine the change of the height of water in a reservoir. Assuming m_in = 10 and m_out = sqrt(20h), then : \frac{d (\rho \cdot Q) }{dt}=\rho \cdot Q_{in} - \rho\cdot...

30. ### Distance formula maximization problem

1. Homework Statement At 9 P.M. an oil tanker traveling west in the ocean at 18 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 8 P.M. while traveling north at 23 kilometers per hour. If the "spot" is represented by the origin, find the location of...